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Finding the Third Proportional to 408,046,326.75 and 885,370,970.25

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Solution

The third proportional to 408,046,326.75 and 885,370,970.25 is: 1,921,060,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,326.75 : 885,370,970.25 = 885,370,970.25 : x
  2. Step 2: Convert to fraction form
    408,046,326.75/885,370,970.25 = 885,370,970.25/x
  3. Step 3: Cross multiply
    408,046,326.75x = 885,370,970.25 × 885,370,970.25
  4. Step 4: Simplify right side
    408,046,326.75x = 783,881,754,961,426,432
  5. Step 5: Solve for x
    x = 783,881,754,961,426,432/408,046,326.75
  6. Step 6: Final answer
    x = 1,921,060,682.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.